Zobrazeno 1 - 6
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pro vyhledávání: '"Sauerbrey, Max"'
Autor:
Agresti, Antonio, Sauerbrey, Max
We consider strictly positive solutions to a class of fourth-order conservative quasilinear SPDEs on the $d$-dimensional torus modeled after the stochastic thin-film equation. We prove local Lipschitz estimates in Bessel potential spaces under minima
Externí odkaz:
http://arxiv.org/abs/2403.12652
Autor:
Sauerbrey, Max
Recently, many existence results for the stochastic thin-film equation were established in the case of a quadratic mobility exponent $n=2$, in which the noise term $\partial_x(u^\frac{n}{2}\mathcal{W})$ becomes linear. In the case of a non-quadratic
Externí odkaz:
http://arxiv.org/abs/2310.02765
The stochastic thin-film equation with mobility exponent $n\in [\frac{8}{3},3)$ on the one-dimensional torus with multiplicative Stratonovich noise is considered. We show that martingale solutions exist for non-negative initial values. This advances
Externí odkaz:
http://arxiv.org/abs/2305.06017
Autor:
Grothaus, Martin, Sauerbrey, Max
We construct and analyze the Jacobi process - in mathematical biology referred to as Wright-Fisher diffusion - using a Dirichlet form. The corresponding Dirichlet space takes the form of a Sobolev space with different weights for the function itself
Externí odkaz:
http://arxiv.org/abs/2111.01693
Autor:
Sauerbrey, Max
We construct solutions to the stochastic thin-film equation with quadratic mobility and Stratonovich gradient noise in the physically relevant dimension $d=2$ and allow in particular for solutions with non-full support. The construction relies on a T
Externí odkaz:
http://arxiv.org/abs/2108.05754
Autor:
Grothaus, Martin, Sauerbrey, Max
Publikováno v:
In Stochastic Processes and their Applications March 2023 157:376-412
